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Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces. (English) Zbl 1113.45015
Summary: The aim of this paper is to prove the existence of mild solutions of the nonlocal Cauchy problem for a nonlinear integrodifferential equation. The results are established by using the method of semigroups and the Schaefer theorem.

MSC:
45N05 Abstract integral equations, integral equations in abstract spaces
45G10 Other nonlinear integral equations
47H20 Semigroups of nonlinear operators
45J05 Integro-ordinary differential equations
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